You have $125.60 in quarters and dimes. There is 956 coins
altogether. How many quarters do
you have?

Quarters = q = 200

Dimes = d = 756

Step-by-step explanation:

Let

Dimes = d

Quarter = q

Value of each Dime = 0.10

Value of each Quarter = 0.25

d + q = 956 (1)

0.1d + 0.25q = $125.60 (2)

From (1)

d = 956 - q

Substitute d = 956 - q into (2)

0.1d + 0.25q = $125.60

0.1(956 - q) + 0.25q = $125.60

95.6 - 0.1q + 0.25q = $125.60

- 0.1q + 0.25q = 125.60 - 95.6

0.15q = 30

Divide both sides by 0.15

q = 30 / 0.15

= 200

q = 200

Substitute q = 200 into (1)

d + q = 956

d + 200 = 956

d = 956 - 200

= 756

d = 756

Therefore,

Quarters = q = 200

Dimes = d = 756

13+n

Step-by-step explanation: